Traveling Wave Solutions for Wave Equations with Exponential Nonlinearities

Authors

S. C. Mancas, Embry-Riddle Aeronautical UniversityFollow
H. C. Rosu, IPICYT, Instituto Potosino de Investigacion Cientifica y TecnologicaFollow
M. Perez-Maldonado, IPICYT, Instituto Potosino de Investigacion Cientifica y Tecnologica

Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

8-1-2017

Abstract/Description

We use a simple method which leads to the quadrature involved in obtaining the traveling wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained while when that term is nonzero we give all the basic traveling wave solutions based on a detailed study of the corresponding elliptic equations of several well-known particular cases with important applications in physics.

Publication Title

Nonlinear Dynamics

Publisher

Springer

Additional Information

This article is not published yet but the pre-print from arXiv.org is attached here.

Scholarly Commons Citation

Mancas, S. C., Rosu, H. C., & Perez-Maldonado, M. (2017). Traveling Wave Solutions for Wave Equations with Exponential Nonlinearities. Nonlinear Dynamics, (). Retrieved from https://commons.erau.edu/publication/859